1140902400 has 480 divisors, whose sum is σ = 4280493888. Its totient is φ = 265420800.

The previous prime is 1140902333. The next prime is 1140902407. The reversal of 1140902400 is 42090411.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (1140902407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15628764 + ... + 15628836.

Almost surely, 2^1140902400 is an apocalyptic number.

1140902400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140246944).

1140902400 is an abundant number, since it is smaller than the sum of its proper divisors (3139591488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1140902400 is a wasteful number, since it uses less digits than its factorization.

1140902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1140902400 is about 33777.2467794520. The cubic root of 1140902400 is about 1044.9194935042.

Adding to 1140902400 its reverse (42090411), we get a palindrome (1182992811).

The spelling of 1140902400 in words is "one billion, one hundred forty million, nine hundred two thousand, four hundred".